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Adventures of Mind and Mathematics

  • Book
  • © 2020

Overview

  • Presents a transactional approach to the question of mind mathematics, thus overcoming the body-mind dualism that exists even in embodiment and enactivist approaches
  • Provides an alternative to common issues in theories of mathematical knowing and learning
  • Uses empirical examples throughout, grounding discussions in real events

Part of the book series: Mathematics in Mind (MATHMIN)

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Table of contents (9 chapters)

  1. Part I

  2. Part II

  3. Part III

Keywords

About this book

This monograph uses the concept and category of “event” in the study of mathematics as it emerges from an interaction between levels of cognition, from the bodily experiences to symbolism. It is subdivided into three parts.The first moves from a general characterization of the classical approach to mathematical cognition and mind toward laying the foundations for a view on the mathematical mind that differs from going approaches in placing primacy on events.The second articulates some common phenomena–mathematical thought, mathematical sign, mathematical form, mathematical reason and its development, and affect in mathematics–in new ways that are based on the previously developed ontology of events. The final part has more encompassing phenomena as its content, most prominently the thinking body of mathematics, the experience in and of mathematics, and the relationship between experience and mind. The volume is well-suited for anyone with a broad interest in educationaltheory and/or social development, or with a broad background in psychology.

Authors and Affiliations

  • Faculty of Education, University of Victoria, Victoria, Canada

    Wolff-Michael Roth

Bibliographic Information

  • Book Title: Adventures of Mind and Mathematics

  • Authors: Wolff-Michael Roth

  • Series Title: Mathematics in Mind

  • DOI: https://doi.org/10.1007/978-3-030-51809-7

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-51808-0Published: 25 August 2020

  • Softcover ISBN: 978-3-030-51811-0Published: 25 August 2021

  • eBook ISBN: 978-3-030-51809-7Published: 24 August 2020

  • Series ISSN: 2522-5405

  • Series E-ISSN: 2522-5413

  • Edition Number: 1

  • Number of Pages: XI, 260

  • Number of Illustrations: 26 b/w illustrations, 87 illustrations in colour

  • Topics: Mathematics, general, Philosophy of Mathematics

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